Are the following sets equal ?

A = {x : x is a letter in the word reap},

B = {x : x is a letter in the word paper},

C = {x : x is a letter in the word rope}

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Solution

A = {a, e, p, r}

B = {a, e, p, r} (repetition of 'p' is not allowed)

C= {e, o, p, r}

as A = B $\neq$ C, $∴$ the sets are not equal

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